No description available.

This work describes the observations and results found from a photometric survey of a 0.5° by 0.5° area of the Galactic Plane performed using the 2.2 metre ESO telescope at La Silla, Chile. The dataset comprises a total of 267 images with 204 from a 16 day observation run in 2005 and 63 from a six week observation run in 2002. The new image subtraction reduction algorithm implemented on this data resulted in more than 500,000 lightcurves with a magnitude limit of R ~ 24.5. The precision of the data following reduction is suitable for transit searches as well as identification of variable stars. Resulting from the transit search was an initial list of 31 candidates, reducing to 23 on further examination. Nine candidates were eliminated by examination of the images and the remaining list re-reduced. After this reduction three good candidates remain. These candidates have periods from 1.2840 to 2.6269 days and depths of around 75 mmags. These three candidates require followup of either multi-colour photometry or spectroscopy to determine their nature. The variable star search resulted in detections of 1475 variable stars of different types. The largest portion were eclipsing binary stars. A number of the contact binaries have possible low mass-ratios and there are also a number of contact and detached binaries which may contain low-mass components. Three of the contact binaries were found to have periods at the known period cut off including two with periods lower than any previously published. Also identified were two possible pre-main sequence detached eclipsing binaries. The binary fraction of the field was calculated from the observed contact binaries to be 46% ± 4%. There are a number of possibilities for further data mining of the survey.

Estadística descriptiva.4. Variable aleatoria y distribución de Probabilidad

It is well known that, as a consequence of the Identity Theorem, we cannot "glue" together two analytic functions to create a new globally analytic function. In this paper we will both introduce and investigate special homeomorphisms, called quasiconformal maps, that are generalizations of the well known conformal maps. We will show that quasiconformal maps make this "gluing," up to conjugation, possible. Quasiconformal maps are a valuable tool in the field of complex dynamics. We will see how quasiconformal maps of infinitesimal circles have an image of an infinitesimal ellipse. Although quasiconformal maps are nice homeomorphisms, they might only be differentiable in the real sense almost everywhere and, surprisingly, complex differentiable nowhere. We shall rely on the work of Lehto and Virtanen as well as Shishikura in exploring these interesting complex valued functions. / Department of Mathematical Sciences

No description available.

No description available.

This work describes the observations and results found from a photometric survey of a 0.5° by 0.5° area of the Galactic Plane performed using the 2.2 metre ESO telescope at La Silla, Chile. The dataset comprises a total of 267 images with 204 from a 16 day observation run in 2005 and 63 from a six week observation run in 2002. The new image subtraction reduction algorithm implemented on this data resulted in more than 500,000 lightcurves with a magnitude limit of R ~ 24.5. The precision of the data following reduction is suitable for transit searches as well as identification of variable stars. Resulting from the transit search was an initial list of 31 candidates, reducing to 23 on further examination. Nine candidates were eliminated by examination of the images and the remaining list re-reduced. After this reduction three good candidates remain. These candidates have periods from 1.2840 to 2.6269 days and depths of around 75 mmags. These three candidates require followup of either multi-colour photometry or spectroscopy to determine their nature. The variable star search resulted in detections of 1475 variable stars of different types. The largest portion were eclipsing binary stars. A number of the contact binaries have possible low mass-ratios and there are also a number of contact and detached binaries which may contain low-mass components. Three of the contact binaries were found to have periods at the known period cut off including two with periods lower than any previously published. Also identified were two possible pre-main sequence detached eclipsing binaries. The binary fraction of the field was calculated from the observed contact binaries to be 46% ± 4%. There are a number of possibilities for further data mining of the survey.

Thesis (Ph. D.)--University of Hong Kong, 2008. / Also available in print.

Honors thesis (B.A.)-Ithaca College Dept. of Mathematics, 2007. / "May 2007." Includes bibliographical references (leaf 24). Also available in print form in the Ithaca College Archives.

Thesis (M.S.)--Ohio University, June, 1997. / Title from PDF t.p.